Simplifying Expressions
Changing Words to Symbols and Symbols to Words
Algebraic Substitution
Product and Quotient Simplification
Language of Mathematics
100
Simplify b * b * b - b + b + b
What is b cubed - 3b?
100
Write an expression for the average of 7 and 3.
What is (7 + 3)/2 or 10/2?
100
a + b; a = 1 and b = -3
What is -2?
100
-2 x * 3 x squared
What is -6 x cubed?
100
A term which does not contain a variable.
What is a constant?
200
Simplify 4 * (x + 2 + x) * x
What is 4x(2x + 2)?
200
Write an expression for the sum of 4 and z.
What is 4 + z?
200
(p - q)/r; p = 3, q = -2, r = -4
What is -5/4?
200
4 d squared * -d
What is -4 d cubed?
200
The number factor of an algebraic term, i.e. the number next to the variable.
What is the coefficient?
300
Simplify x - -2x
What is 3x?
300
Write an algebraic expression for the sum of b and a squared.
What is b + a squared?
300
c squared + b; b = -1, c = 3
What is 8?
300
(4 x to the fourth)/2
What is 2 x cubed?
300
An algebraic form consisting of numbers, variables, and operation signs.
What is an expression?
400
Simplify 3a + b - 2a - 7b
What is a - 6b?
400
Write an expression for the sum of b and a, all squared.
What is (b + a) squared?
400
(r - s)/(r - t); r = 2, s = 4, t = -1
What is -2/3?
400
(3 x cubed)/(9 x to the fifth)
What is 1/(3 x squared)?
400
Terms with exactly the same variable form.
What are like terms?
500
Simplify yx + 4 - 2xy - 3y
What is -xy - 3y + 4?
500
Write in sentence form, the meaning of 2a + b.
What is the sum of twice a and b?
500
(p + q)(p - q); p = 3, q = -2
What is 5?
500
(10 x to the fourth)/(5 x )
What is 2 x cubed?
500
An unknown value that is represented by a letter or symbol.
What is a variable?
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